The whole book is presented as a relatively free-flowing
dialogue between the AUTHOR and the READER. From one discussion
to another the AUTHOR will lead the inquisitive and receptive
READER to different notions, ideas, and theorems of calculus,
emphasizing especially complicated or delicate aspects, stressing the
inner logic of proofs, and attracting the reader's attention to special
points. I hope that this form of presentation will help a reader of the
book in learning new definitions such as those of derivative, antiderivative, definite. integral, differential equation, etc. I also expect that
it will lead the reader to better understanding of such concepts as
numerical sequence, limit of sequence, and function. Briefly, these
discussions are intended to assist pupils entering a novel world of
calculus. And if in the long run the reader of the book gets a feeling
of the intrinsic beauty and integrity of higher mathematics or even
is appealed to it, the author will consider his mission as successfully
completed.
Preface v
-
1 INFINITE NUMERICAL SEQUENCE 1
-
2 LIMIT OF SEQUENCE 17
-
3 CONVERGENT SEQUENCE 29
-
4 FUNCTION 45
-
5 MORE ON FUNCTION 61
-
6 LIMIT OF FUNCTION 85
-
7 MORE ON THE LIMIT OF FUNCTION 103
-
8 VELOCITY 115
-
9 DERIVATIVE 129
-
10 DIFFERENTIATION 147
-
11 ANTIDERIVATIVE 169
-
12 INTEGRAL 185
-
13 DIFFERENTIAL EQUATIONS 199
14 MORE ON DIFFERENTIAL EQUATIONS 215
Live Music
Archive
Librivox
Free Audio
Metropolitan Museum
Cleveland
Museum of Art
Internet
Arcade
Console Living Room
Open Library
American
Libraries
TV News
Understanding
9/11
JaiGyan: Bharat Ek Khoj
